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x and y are consecutive integers such that x > y. What is

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by BTGmoderatorDC » Sat Jun 29, 2019 6:33 pm

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x and y are consecutive integers such that x > y. What is the absolute value of y?

(1) The product xy is 20.

(2) x is a prime number.

OA C

Source: Veritas Prep
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Source: — Data Sufficiency |
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by deloitte247 » Sun Jul 28, 2019 10:45 am
Statement 1
The product x=20;
xy=20
possible cases are x=5 and y=4 OR x=-5 and y=-5
Information provided is not enough to arrive at a possible value of y hence statement 1 is NOT SUFFICIENT.

Statement 2
x is a prime number
this does not say anything about y hence statement 2 is NOT SUFFICIENT.

Combining both statements together
if x is a prime number the possible value of y=4 or -4 hence absolute value of y is +4

both statements together are SUFFICIENT.


$$Answer\ is\ Option\ C$$
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Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

by deloitte247 » Sun Jul 28, 2019 11:10 am
Statement 1
The product x=20;
xy=20
possible cases are x=5 and y=4 OR x=-5 and y=-5
Information provided is not enough to arrive at a possible value of y hence statement 1 is NOT SUFFICIENT.

Statement 2
x is a prime number
this does not say anything about y hence statement 2 is NOT SUFFICIENT.

Combining both statements together
if x is a prime number the possible value of y=4 or -4 hence absolute value of y is +4

both statements together are SUFFICIENT.


$$Answer\ is\ Option\ C$$
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